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Home » x = 10: 100 + 121 + 144 = 365 - High Altitude Science

x = 10: 100 + 121 + 144 = 365 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 So no valid position? But the problem implies there is one.

📌 Wait — perhaps not a multiple of 90 means not exactly 90, 180, etc., but maybe 360 is acceptable if not of 90 in sense? No — multiple means divisible.

📌 Wait — reread: a multiple of 45 degrees but not a multiple of 90 degrees → so the angle must be divisible by 45, but not by 90.

📌 So θ ≡ 0 mod 45, but θ ≢ 0 mod 90.

📌 Possible angles: 45, 135, 225, 315, 495, 585, ...

📌 Can any of these be divisible by 18?

📌 ÷ 18 = 2.5 → not

📌 ÷ 18 = 7.5 → not

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